TSTP Solution File: GEO112+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GEO112+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 1 02:22:02 EDT 2024
% Result : Theorem 0.57s 0.75s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 29 ( 10 unt; 0 def)
% Number of atoms : 108 ( 13 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 123 ( 44 ~; 34 |; 38 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-4 aty)
% Number of variables : 86 ( 72 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f52,plain,
$false,
inference(subsumption_resolution,[],[f50,f38]) ).
fof(f38,plain,
! [X2,X3,X0] : ~ between_c(X0,X3,X2,X3),
inference(equality_resolution,[],[f32]) ).
fof(f32,plain,
! [X2,X3,X0,X1] :
( X1 != X3
| ~ between_c(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1,X2,X3] :
( ( between_c(X0,X1,X2,X3)
| ! [X4] :
( ~ inner_point(X2,X4)
| ~ end_point(X3,X4)
| ~ end_point(X1,X4)
| ~ part_of(X4,X0) )
| X1 = X3 )
& ( ( inner_point(X2,sK4(X0,X1,X2,X3))
& end_point(X3,sK4(X0,X1,X2,X3))
& end_point(X1,sK4(X0,X1,X2,X3))
& part_of(sK4(X0,X1,X2,X3),X0)
& X1 != X3 )
| ~ between_c(X0,X1,X2,X3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f27,f28]) ).
fof(f28,plain,
! [X0,X1,X2,X3] :
( ? [X5] :
( inner_point(X2,X5)
& end_point(X3,X5)
& end_point(X1,X5)
& part_of(X5,X0) )
=> ( inner_point(X2,sK4(X0,X1,X2,X3))
& end_point(X3,sK4(X0,X1,X2,X3))
& end_point(X1,sK4(X0,X1,X2,X3))
& part_of(sK4(X0,X1,X2,X3),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f27,plain,
! [X0,X1,X2,X3] :
( ( between_c(X0,X1,X2,X3)
| ! [X4] :
( ~ inner_point(X2,X4)
| ~ end_point(X3,X4)
| ~ end_point(X1,X4)
| ~ part_of(X4,X0) )
| X1 = X3 )
& ( ( ? [X5] :
( inner_point(X2,X5)
& end_point(X3,X5)
& end_point(X1,X5)
& part_of(X5,X0) )
& X1 != X3 )
| ~ between_c(X0,X1,X2,X3) ) ),
inference(rectify,[],[f26]) ).
fof(f26,plain,
! [X0,X1,X2,X3] :
( ( between_c(X0,X1,X2,X3)
| ! [X4] :
( ~ inner_point(X2,X4)
| ~ end_point(X3,X4)
| ~ end_point(X1,X4)
| ~ part_of(X4,X0) )
| X1 = X3 )
& ( ( ? [X4] :
( inner_point(X2,X4)
& end_point(X3,X4)
& end_point(X1,X4)
& part_of(X4,X0) )
& X1 != X3 )
| ~ between_c(X0,X1,X2,X3) ) ),
inference(flattening,[],[f25]) ).
fof(f25,plain,
! [X0,X1,X2,X3] :
( ( between_c(X0,X1,X2,X3)
| ! [X4] :
( ~ inner_point(X2,X4)
| ~ end_point(X3,X4)
| ~ end_point(X1,X4)
| ~ part_of(X4,X0) )
| X1 = X3 )
& ( ( ? [X4] :
( inner_point(X2,X4)
& end_point(X3,X4)
& end_point(X1,X4)
& part_of(X4,X0) )
& X1 != X3 )
| ~ between_c(X0,X1,X2,X3) ) ),
inference(nnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1,X2,X3] :
( between_c(X0,X1,X2,X3)
<=> ( ? [X4] :
( inner_point(X2,X4)
& end_point(X3,X4)
& end_point(X1,X4)
& part_of(X4,X0) )
& X1 != X3 ) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X0,X2,X4,X6] :
( between_c(X0,X2,X4,X6)
<=> ( ? [X7] :
( inner_point(X4,X7)
& end_point(X6,X7)
& end_point(X2,X7)
& part_of(X7,X0) )
& X2 != X6 ) ),
file('/export/starexec/sandbox/tmp/tmp.FxaOMBiEqg/Vampire---4.8_8831',between_c_defn) ).
fof(f50,plain,
between_c(sK0,sK1,sK2,sK1),
inference(backward_demodulation,[],[f30,f44]) ).
fof(f44,plain,
sK1 = sK3,
inference(unit_resulting_resolution,[],[f31,f39,f41,f40,f42,f37]) ).
fof(f37,plain,
! [X2,X3,X0,X1,X4] :
( X1 = X3
| ~ inner_point(X2,X4)
| ~ end_point(X3,X4)
| ~ end_point(X1,X4)
| ~ part_of(X4,X0)
| between_c(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f29]) ).
fof(f42,plain,
inner_point(sK2,sK4(sK0,sK1,sK2,sK3)),
inference(unit_resulting_resolution,[],[f30,f36]) ).
fof(f36,plain,
! [X2,X3,X0,X1] :
( inner_point(X2,sK4(X0,X1,X2,X3))
| ~ between_c(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f29]) ).
fof(f40,plain,
end_point(sK1,sK4(sK0,sK1,sK2,sK3)),
inference(unit_resulting_resolution,[],[f30,f34]) ).
fof(f34,plain,
! [X2,X3,X0,X1] :
( end_point(X1,sK4(X0,X1,X2,X3))
| ~ between_c(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f29]) ).
fof(f41,plain,
end_point(sK3,sK4(sK0,sK1,sK2,sK3)),
inference(unit_resulting_resolution,[],[f30,f35]) ).
fof(f35,plain,
! [X2,X3,X0,X1] :
( end_point(X3,sK4(X0,X1,X2,X3))
| ~ between_c(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f29]) ).
fof(f39,plain,
part_of(sK4(sK0,sK1,sK2,sK3),sK0),
inference(unit_resulting_resolution,[],[f30,f33]) ).
fof(f33,plain,
! [X2,X3,X0,X1] :
( part_of(sK4(X0,X1,X2,X3),X0)
| ~ between_c(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f29]) ).
fof(f31,plain,
~ between_c(sK0,sK3,sK2,sK1),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
( ~ between_c(sK0,sK3,sK2,sK1)
& between_c(sK0,sK1,sK2,sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f22,f23]) ).
fof(f23,plain,
( ? [X0,X1,X2,X3] :
( ~ between_c(X0,X3,X2,X1)
& between_c(X0,X1,X2,X3) )
=> ( ~ between_c(sK0,sK3,sK2,sK1)
& between_c(sK0,sK1,sK2,sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f22,plain,
? [X0,X1,X2,X3] :
( ~ between_c(X0,X3,X2,X1)
& between_c(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
~ ! [X0,X1,X2,X3] :
( between_c(X0,X1,X2,X3)
=> between_c(X0,X3,X2,X1) ),
inference(rectify,[],[f19]) ).
fof(f19,negated_conjecture,
~ ! [X0,X2,X4,X6] :
( between_c(X0,X2,X4,X6)
=> between_c(X0,X6,X4,X2) ),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
! [X0,X2,X4,X6] :
( between_c(X0,X2,X4,X6)
=> between_c(X0,X6,X4,X2) ),
file('/export/starexec/sandbox/tmp/tmp.FxaOMBiEqg/Vampire---4.8_8831',theorem_3_8_2) ).
fof(f30,plain,
between_c(sK0,sK1,sK2,sK3),
inference(cnf_transformation,[],[f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO112+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n023.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 19:10:40 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.FxaOMBiEqg/Vampire---4.8_8831
% 0.57/0.75 % (9256)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.57/0.75 % (9249)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.57/0.75 % (9250)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.57/0.75 % (9252)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.57/0.75 % (9251)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.75 % (9256)Refutation not found, incomplete strategy% (9256)------------------------------
% 0.57/0.75 % (9256)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75 % (9256)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (9256)Memory used [KB]: 1049
% 0.57/0.75 % (9256)Time elapsed: 0.002 s
% 0.57/0.75 % (9256)Instructions burned: 3 (million)
% 0.57/0.75 % (9256)------------------------------
% 0.57/0.75 % (9256)------------------------------
% 0.57/0.75 % (9254)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.57/0.75 % (9253)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.57/0.75 % (9255)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.57/0.75 % (9249)Refutation not found, incomplete strategy% (9249)------------------------------
% 0.57/0.75 % (9249)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75 % (9249)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (9249)Memory used [KB]: 1054
% 0.57/0.75 % (9249)Time elapsed: 0.003 s
% 0.57/0.75 % (9249)Instructions burned: 3 (million)
% 0.57/0.75 % (9249)------------------------------
% 0.57/0.75 % (9249)------------------------------
% 0.57/0.75 % (9252)First to succeed.
% 0.57/0.75 % (9253)Refutation not found, incomplete strategy% (9253)------------------------------
% 0.57/0.75 % (9253)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75 % (9253)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (9253)Memory used [KB]: 1077
% 0.57/0.75 % (9253)Time elapsed: 0.004 s
% 0.57/0.75 % (9253)Instructions burned: 4 (million)
% 0.57/0.75 % (9253)------------------------------
% 0.57/0.75 % (9253)------------------------------
% 0.57/0.75 % (9260)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.57/0.75 % (9252)Refutation found. Thanks to Tanya!
% 0.57/0.75 % SZS status Theorem for Vampire---4
% 0.57/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.75 % (9252)------------------------------
% 0.57/0.75 % (9252)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75 % (9252)Termination reason: Refutation
% 0.57/0.75
% 0.57/0.75 % (9252)Memory used [KB]: 1062
% 0.57/0.75 % (9252)Time elapsed: 0.004 s
% 0.57/0.75 % (9252)Instructions burned: 4 (million)
% 0.57/0.75 % (9252)------------------------------
% 0.57/0.75 % (9252)------------------------------
% 0.57/0.75 % (9099)Success in time 0.38 s
% 0.57/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------